Mathematics High School

The Garys have a triangular pennant of area 420 in(squared)flying from the flagpole in their yard. The height of the triangle is 10 in less than 5 times the
base of the triangle. What are the dimensions of the pennant?

Answers

Answer 1

Answer:

The answer is given below:

Step-by-step explanation:

The computation of the dimension of the pennant is shown below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

where

x represents the base of the traingle

h represent the height that should be (5x - 10)

Now according to the above formula

420 =  1 ÷ 2 × x × (5x - 10)

840 = x(5x - 10)

840 = 5x^2 - 10x

5x^2 - 10x - 840 = 0

5(x^2 - 2x - 168) = 0

x^2 - 2x - 168 = 0

x^ - 14x + 12x - 168

x (x - 14) + 12(x - 14)

(x + 12) (x - 14)

So, here x = 14

Now height would be

= 5(14) - 10

= 60 inches

Related Questions

What is the volume of corn held in this cone-shaped grain silo? Use 3.14 for π and round to the nearest cubic foot. Enter your answer in the box.

Answers

Answer:

3014 cubit foot

Step-by-step explanation:

Find the diagram attached

Volume of the cone = 1/3πr²h

r is the base radius of the cone

h is the height

Given

r = 6ft

Get the height using the pythagoras theorem

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = √64

h = 8ft

Get the volume

Volume = 1/3πr²h

Volume = 1/3 * 3.14 * 6^2*8

Volume = 3.14 * 12 * 8

Volume =3,014.4

Volume = 3014 cubit foot to the nearest foot

HELP PLEASE ITS URGENT

Answers

Answer:

C

Step-by-step explanation:

Order matters and B=J. In the answer choice, B is in the middle and so is J.

Answer:

C.

Step-by-step explanation:

D=K

B=J

C=I

They're complementary angles to each other, so- nevermind just trust me.

Select the expression that is equivalent to 48 ÷ 12
A. 6 (8 + 6)
B. 12 (4+1)
C. 4 (44 +3)
D. 8 (6+4)

Answers

Given:

Consider the expression is:

[tex]48+12[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

[tex]48\div 12[/tex]

It can be written as:

[tex]48\div 12=12\times 4+12\times 1[/tex]

Taking out the GCF, we get

[tex]48\div 12=12(4+1)[/tex]

Therefore, the correct option is B.

Answer:

b. 12 (4+1)

Step-by-step explanation:

hope this helps you {ribbit}

~tsu-chan :p

points and brainliest! How's your day? Have you gotten something to eat and givin yourself hydration yet?

Answers

Answer:

no I didn't but why ask ?

Step-by-step explanation:

brainiest pls

Find the values of x and y.

Answers

Answer:

x=21°. :Angles subtended by the same arc

y=42°. :180-(117+21),angles subtended by the same arc

If a = 7 and b = 3 then, the value of a + 2b is

Answers

the value of a is 13

Step-by-step explanation:

7+2(3)

7+6 = 13



A tv costs £900. Work out the price after a 3% price increase.

Answers

Answer:

$975

Step-by-step explanation:

Ok 900 * .03  is 27

27+ 900 is 927

$927

Step-by-step explanation:

a tv=900

100+3=103

103×900=92700

92700÷100

=927

can someone help me with this problem?

Answers

ANSWER: 21

WHY:

Each number on the left side is multiplied by 3. There are 3 blue marbles in each bag. 7 bags will have 21 blue marbles. 7*3=21


MARK ME BRAINLIEST PLEASE

How many milliliters are 1/5 liter

Answers

1/5 liters = 200 milliliters

what is the mean price of $29 $58 $15 $129 $75 $22

Answers

55 is your answer
each number added together sums up to $330
there are 6 numbers
if you divide 330 by 6 you will get 55

Giving brainliest please help

Answers

The answer would be 13 because if you put 7 over 56 and on the other side put 104 on the bottom. You multiply 7 by 104 and get 728 and after that you divide it by 56 and get 13.

Susan is mailing packages. Each small package costs her $2.30 to send. Each large package costs her $3.20. How much will it cost her to send 1 small package and 3 large packages?

Answers

Answer:

It will cost her $11.90 in total

Step-by-step explanation:

Each small package costs her $2.30 to send. Each large package costs her $3.20

3.2 times 3 = 9.6

9.6 plus 2.3 = 11.9

Help plz I need this ASAP

Answers

Picture is not very clear, cannot read the measurements or the answers to help you.

Help pls, no links those are malware.

Answers

Answer:

98cm^2

Step-by-step explanation:

The triangle is equilateral and each side is 14cm

area of triangle: h*b/2

i think it is 98?....

The what is the powerhouse of the cell?

:) :)

Answers

Answer:

Mitochondria is the power house of a cell

Step-by-step explanation:

Answer:

Mitochondria

Step-by-step explanation:

Trust me they will ask you on every interview this question Your welcome

Se hizo un estudio estadístico sobre la duración de una marca de pilas. Los resultados, en horas, de una muestra de 15 pilas son: 20, 22, 25, 21, 22, 20, 23, 21, 24, 22, 24, 21, 23, 22, 21. Construye una tabla de frecuencias absolutas y relativas. a. Calcula las frecuencias absolutas y relativas acumuladas. b. ¿Qué porcentaje de pilas dura menos de 22 horas? Rta: sumo los hi < 22: 0,13 + 0,27 = 0,4 x 100% = 40% c. ¿Qué porcentaje de pilas dura menos de 21 horas? Rta: los hi < 21: 0,13 x 100% 13,33%

Answers

ok it 20




20,24,20 20concludes of 20

what is the measure of GAB

Answers

Answer:

180°

Step-by-step explanation:

the measure of GAB is 180°

Answer:

TRUBOMAT GAB measures the turbidity of liquid applying nephelometric method. For this purpose, a combined transmitted & scattered beams measurements are used, in which a transmitter and a receiver face each other and another transmitter is arranged orthogonally (at an angle of 90 °).

please mark as brainliest

Humble ISD
G 800 x 162
G Should playing tagi
GL
Graded Work: Trig Mixed Practice
Use the inverse trig ratios to find the value of the missing angle. Round to the nearest WHOLE NUMBER.
40
25
Angle

Answers

Answer:

esdfvc

324

Step-by-step explanation:

Which letter corresponds to -3
A
B
C
D

Answers

D. 3

The absolute value is always even.

The answer would be D.

HELPPPP PLEASE 5. An equation for the line whose slope is 5 and which passes through the point
(1) y = 5x +11
(3) y = 5x +21
(2) y = 11.8-2
(4) y = 2x+15

Answers

What’s the point?
y=mx+b
m is the slope
y=5x+b then you substitute the point (x,y) on y and x to find b
Something is missing in this question, slope of 5 could be answer 1 or 3 but the points were not given.

The point 5,4 is reflected over the y-axis. What are the coordinates of the new point?

Answers

Answer:

(5,-4)

Step-by-step explanation:

Quadrant one is positive quadrant two is negative positive quadrant three is negative Quadrant four is positive negative. Therefore, the coordinates of the new point are (5,-4)

o - 12
Solution
4.56 x 36
0.12​

Answers

Answer:

164.16 is the answer

Step-by-step explanation:

hwhshshhs

What Is the first step in solving this quadratic equation
X^2+5x=6

A. Combine like terms
B. Set each factor equal to 0
C. Subtract from both sides to set the equation equal to 0
D. Factor

Answers

Answer:

Step-by-step explanation:

We need to move the 6 so that all three terms are on the left and only 0 is present on the right side:  To do this, we (C) subtract 6 from both sides to set the equation equal to 0.

x^2 + 5x - 6 = 0

. Campbell's paycheck was $257.20. She put 1/4 of her paycheck in her savings account and used 1/3 of what was left to pay bills. How much money does she have remaining from her paycheck after her bills are paid?

Answers

Answer: $128.60

Step-by-step explanation: She uses $64.30 for her savings account, leaving $192.90. 1/3 of $192.90 is also $64.30. The remaining balance is $128.60

NO FILES PLSSSSSSSSSS

Answers

y = -2x + 1

y = -2x -3

none cuz they're both -2x

Answer: no solution

Step-by-step explanation:

2x+y=1

convert to y=mx+b

y=-2x+1

2x+y=-3

convert to y=mx+b

y=-2x-3

they are parallel

$0.10 divided by 25.

Answers

Answer:

0.4$

Step-by-step explanation:

Answer:

0.10÷25=0.004

Step-by-step explanation:

hope it helps..

have a great day!!

factor the following function completely x^2-4​

Answers

ANSWER: (x+2) (x-2)

WHY: Looked it up on a math website
I forgot how to do this...

2 cups of coffee and 3 cops of tea cost £10.10
Three cups of coffee and 3 cups of tea cost £15.10 work out how much one cup of coffee is and one cup of tea is

Answers

Answer:

Fard

Step-by-step explanation:

Hehe funi

Since we have the same cups of tea and one less coffee you just have to do 15.10 - 10.10 which is 5 euros, which means that one cup of coffee is 5 euros and one cup of tea is 3 cents. (Or whatever you use for uk)

Item 1
Find the surface area of the regular pyramid.

Answers

Answer:

The answer is 16 in. sq.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

16in²

Step-by-step explanation:

SA=2²+4(1/2)(2)(3)

=4+12

SA=16 in²

hope it helps..

have a great day!!

Can someone help me please

Answers

Answer:A

Step-by-step explanation:

18-(3xeach #)=

All are less than 10

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